Sure, let's solve the division problems step-by-step:
### Part a) [tex]\( 4187 \div 42 \)[/tex]
1. Find the Quotient:
- To find the quotient, divide 4187 by 42.
- The quotient is the whole number result of this division.
When 4187 is divided by 42, the quotient is [tex]\( 99 \)[/tex].
2. Find the Remainder:
- The remainder is what is left after dividing 4187 by 42.
- You can find the remainder by subtracting the product of the quotient and the divisor from the dividend.
So, [tex]\( 4187 - (42 \times 99) = 4187 - 4158 = 29 \)[/tex].
Hence, the quotient is [tex]\( 99 \)[/tex] and the remainder is [tex]\( 29 \)[/tex].
### Part b) [tex]\( 68,700 \div 234 \)[/tex]
1. Find the Quotient:
- To find the quotient, divide 68,700 by 234.
- The quotient is the whole number result of this division.
When 68,700 is divided by 234, the quotient is [tex]\( 293 \)[/tex].
2. Find the Remainder:
- The remainder is what is left after dividing 68,700 by 234.
- You can find the remainder by subtracting the product of the quotient and the divisor from the dividend.
So, [tex]\( 68,700 - (234 \times 293) = 68,700 - 68,562 = 138 \)[/tex].
Hence, the quotient is [tex]\( 293 \)[/tex] and the remainder is [tex]\( 138 \)[/tex].
To summarize:
- For [tex]\( 4187 \div 42 \)[/tex], the quotient is [tex]\( 99 \)[/tex] and the remainder is [tex]\( 29 \)[/tex].
- For [tex]\( 68,700 \div 234 \)[/tex], the quotient is [tex]\( 293 \)[/tex] and the remainder is [tex]\( 138 \)[/tex].
